Question

The cost of painting the whole surface area of a cube at the rate of 13 paise per cm sq. is rupee 343.98. The volume of the cube is :

Answer 1

9261 cm^3
Hope this will help you

Answer 2

Answer:

9261 cm³

Solution:

Cost of painting whole surace area of cube = Rs. 343.98

Rate of cost of per cm² = 13 paise = Rs. 13 / 100

[ Because 1 paise = Rs. 1 / 100 ]

TSA of cube = Cost of painting / Rate = 343.98 / ( 13 / 100 ) = 34398 / 13 = 2646 cm²

We know that

TSA of cube = 6a² sq.units [ Where 'a' is length of edge of cube ]

⇒ 6a² = 2646

⇒ a² = 2646 / 6

⇒ a² = 441

⇒ a = √441

⇒ a = ± 21

Since length can't be negative

⇒ a = 21

Volume of a cube = a³ cu.units

= 21³

= 9261 cm³

Therefore the volume of the cube is 9261 cm³.